Inverse closedness ofC
*-algebras in Banach algebras |
| |
Authors: | Dmitry Goldstein |
| |
Institution: | (1) Dept. of Mathematics & Computer Science, Bar-Ilan University, 52900 Ramat-Gan, Israel |
| |
Abstract: | LetA denote a unital Banach algebra, and letB denote aC
*-algebra which is contained as a unital subalgebra inA. We prove thatB is inverse closed inA if the norms ofA andB coincide. This generalizes well known result about inverse closedness ofC
*-subalgebras inC
*-algebras. |
| |
Keywords: | 46L05 |
本文献已被 SpringerLink 等数据库收录! |
|